Search a number
-
+
34457410471 = 1147425315671
BaseRepresentation
bin100000000101110100…
…100101101110100111
310021221101200211000211
4200011310211232213
51031032044113341
623455101520251
72326613104441
oct400564455647
9107841624024
1034457410471
1113682345540
126817873087
1333319a94a3
14194c429491
15d6a103181
hex805d25ba7

34457410471 has 16 divisors (see below), whose sum is σ = 38401164288. Its totient is φ = 30649266400.

The previous prime is 34457410469. The next prime is 34457410489. The reversal of 34457410471 is 17401475443.

It is a cyclic number.

It is not a de Polignac number, because 34457410471 - 21 = 34457410469 is a prime.

It is a super-3 number, since 3×344574104713 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34457414471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2190966 + ... + 2206636.

It is an arithmetic number, because the mean of its divisors is an integer number (2400072768).

Almost surely, 234457410471 is an apocalyptic number.

34457410471 is a deficient number, since it is larger than the sum of its proper divisors (3943753817).

34457410471 is a wasteful number, since it uses less digits than its factorization.

34457410471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19982.

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 34457410471 in words is "thirty-four billion, four hundred fifty-seven million, four hundred ten thousand, four hundred seventy-one".

Divisors: 1 11 47 517 4253 15671 46783 172381 199891 736537 2198801 8101907 66648763 733136393 3132491861 34457410471